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Finding the Fourth Proportional to 79,371.10, 119,032.89 and 31,970.98

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Solution

The fourth proportional to 79,371.10, 119,032.89 and 31,970.98 is: 47,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,371.10 : 119,032.89 = 31,970.98 : x
  2. Step 2: Convert to fraction form
    79,371.10/119,032.89 = 31,970.98/x
  3. Step 3: Cross multiply
    79,371.10x = 119,032.89 × 31,970.98
  4. Step 4: Simplify right side
    79,371.10x = 3,805,598,145.53
  5. Step 5: Solve for x
    x = 3,805,598,145.53/79,371.10
  6. Step 6: Final answer
    x = 47,946.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.